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423850752 = 2833135389
BaseRepresentation
bin11001010000110…
…111001100000000
31002112112211221000
4121100313030000
51332001211002
6110020332000
713334446323
oct3120671400
91075484830
10423850752
111a8286386
12b9b44000
1369a72680
14404127ba
152732561c
hex19437300

423850752 has 288 divisors, whose sum is σ = 1390737600. Its totient is φ = 126517248.

The previous prime is 423850729. The next prime is 423850769. The reversal of 423850752 is 257058324.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4762324 + ... + 4762412.

It is an arithmetic number, because the mean of its divisors is an integer number (4828950).

Almost surely, 2423850752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423850752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695368800).

423850752 is an abundant number, since it is smaller than the sum of its proper divisors (966886848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

423850752 is a wasteful number, since it uses less digits than its factorization.

423850752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 423850752 is about 20587.6359011908. The cubic root of 423850752 is about 751.1689929939.

The spelling of 423850752 in words is "four hundred twenty-three million, eight hundred fifty thousand, seven hundred fifty-two".